Title :
On the aperiodic and odd correlations of the binary Shanbhag-Kumar-Helleseth sequences
Author :
Koponen, Sami ; Lahtonen, Jyrki
Author_Institution :
L.M. Ericsson, Turku, Finland
fDate :
9/1/1997 12:00:00 AM
Abstract :
A previously derived upper bound on hybrid sums over Galois rings is combined with a method due to Vinogradov (1954) to obtain an upper bound for the maximum aperiodic and odd correlations of the binary sequences constructed by Shanbhag, Kumar, and Helleseth (see Proc. 1995 IEEE Int. Symp. on Information Theory, 1995)
Keywords :
Galois fields; binary sequences; correlation methods; Galois rings; Vinogradov method; binary Shanbhag-Kumar-Helleseth sequences; hybrid sums; maximum aperiodic correlation; maximum odd correlation; Binary sequences; Discrete Fourier transforms; Mathematics; Multiaccess communication; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on